
Polynomials Revisit
Presentation
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
+2
Standards-aligned
Carrie Johnson
Used 13+ times
FREE Resource
7 Slides • 20 Questions
1
By Carrie Johnson
2
a single term or product of terms
Some monomial examples are:
3x2 7x 4xy 3x2y7
Some text here about the topic of discussion
3
a sum of 2 monomials
Some binomial examples are:
3x2 + 7x or x-2 or x2 - 9
Some text here about the topic of discussion
4
a sum of 3 monomials
Some binomial examples are:
x2 + 5x + 6 or 3x2 -6x - 9
Some text here about the topic of discussion
5
is the highest exponent of a polynomial
An example of a degree 3 polyomial would by
x3 - 4x2 + 7x - 9
Some text here about the topic of discussion
6
Look for the HGHEST power
Classifying a polynomial by DEGREE
7
Multiple Choice
Name the polynomial by DEGREE:
9x+2
Constant
Linear
Quadratic
Cubic
8
Multiple Choice
Classify the polynomial by degree f(𝒙) = 3x4 + 5x3 - x2.
quadratic
cubic
quartic
quintic
9
Multiple Choice
Name the polynomial by DEGREE:
−2x2
Constant
Linear
Quadratic
Cubic
10
Multiple Choice
Name the polynomial by DEGREE:
x4−x3+2x+5
Linear
Quadratic
Cubic
Quartic
11
Count how many items are separated by + and – signs
Classifying a polynomial by TERMS
12
Multiple Choice
How many TERMS does the polynomial have?
−27a3+9a2−45a
5 terms
0 terms
2 terms
3 terms
13
Multiple Choice
A polynomial that has two terms is a:
monomial
binomial
trinomial
polynomial
14
Multiple Choice
Classify the polynomial:
2x3−18x
Quadratic Binomial
Linear Binomial
Cubic Binomial
Quadratic Trinomial
15
Multiple Choice
Classify the polynomial:
x2+10x−24
Quadratic Binomial
Linear Binomial
Cubic Binomial
Quadratic Trinomial
16
Multiple Choice
The degree of a cubic polynomial is...
4
3
2
all of the above
17
Multiple Choice
The leading coefficient in the polynomial P(x) = 5x3 + 13x2 + x + 4 is...
3
5
13
4
18
Multiple Choice
Multiply these Polynomial expressions. Use an area model and combine like terms.
(x + 1) (x2+ 3x + 2)
x3 + 4x2 + 5x + 2
x3 + x2 + 3x + 3
2x3 + 4x2 + 6x + 3
(x+1)3 (x+3)
19
Multiple Choice
Given P(x) = x3 + 4x2 + 5x + 2 , then P(2) = ?
34
(x - 2)
36
2x
20
Multiple Choice
Given the factorized polynomial of (x + 2)(x + 1)(x - 3), the x-intercepts are...
{2, 1, 3}
{2, 1, -3}
{-3, 1, 2}
{3, -1, -2}
21
Multiple Choice
(x3+ x2 + x + 3) + (2x3 + 3x2 + 2x + 1)
2x6+3x4+ 2x + 4
10x3 + 4
3x3 + 4x2 + 2x + 4
3x3 + 4x2 + 3x + 4
22
Multiple Select
The curve of P(x) = (x+2)2(x-3) will.........(two correct answers!!)
Cut through the
x-axis at (2,0) and (-3,0)
Intercept the
x-axis at (-2,0) and (3,0)
Bounce on the
x-axis at (3,0) and cut through at (-2,0)
Bounce on the
x-axis at (-2,0) and then cut through at (3,0)
23
Multiple Choice
If a Polynomial is divided by a factor such as (x + 2) and there is no remainder...
(-2) is a factor of the polynomial
(-2,0) is one of the x-intercepts
P(2)=0
All of the above
24
Multiple Choice
If a Polynomial is divided by a factor such as (x - 3) and there is no remainder...
(x - 3) is a factor of the polynomial
(3,0) is one of the x-intercepts
P(3)=0
All of the above
25
Multiple Choice
The factorized expression for the graph to the left is...
(x-1)(x-2)(x+2)
(x+1)(x+2)(x-2)
(x-4)(x-1)(x+2)
(x-1)(x-2)(x+4)
26
Multiple Choice
P(x) = (x - 1)(2x - 2)(x - 2) is the polynomial of the graph
True
False
27
Multiple Select
If P(3) = 0 , then which of the following is a factor?
(x + 3)
(3 - x)
(x - 3)
(x + 0)
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